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The Poisson process, a core object in modern probability, enjoys a richer theory than is sometimes appreciated.
Also discussed are applications and related topics in stochastic geometry, including stationary point processes, the Boolean model, the Gilbert graph, stable allocations, an.
This volume develops the theory in the setting of a general abstract measure space, establishing basic results and properties as well as certain advanced topics in the stochastic analysis of the Poisson process.
The Poisson process, a core object in modern probability, enjoys a richer theory than is sometimes appreciated
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